Details

Time bar (total: 5.5s)

analyze1.2s

Algorithm
search

sample37.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
10.0ms115×body80invalid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0185
1255
2275
3275

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ (* x y) (* z t)) (* a b))
0.0b
(+ (* x y) (* z t))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
1×associate-+l+
Counts
2 → 24
Calls
2 calls:
5.0ms
(+ (+ (* x y) (* z t)) (* a b))
4.0ms
(+ (* x y) (* z t))

series29.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(+ (+ (* x y) (* z t)) (* a b))
10.0ms
(+ (* x y) (* z t))

simplify77.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0187190
1747179
22644177
35001177

prune52.0ms

Filtered
24 candidates to 30 candidates (-25.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New26430
Fresh000
Picked011
Done000
Total26531

Merged error: 0b

Counts
31 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
1.0b
(cbrt (+ (* x y) (* z t)))
1.0b
(cbrt (+ (* x y) (* z t)))
1.0b
(cbrt (+ (* x y) (* z t)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
10.0ms
(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
3.0ms
(cbrt (+ (* x y) (* z t)))
3.0ms
(cbrt (+ (* x y) (* z t)))
5.0ms
(cbrt (+ (* x y) (* z t)))

series152.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
37.0ms
(cbrt (+ (* x y) (* z t)))
35.0ms
(cbrt (+ (* x y) (* z t)))
35.0ms
(cbrt (+ (* x y) (* z t)))

simplify102.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (91.0ms)

IterNodesCost
03151087
110671022
24322952
35001933

prune120.0ms

Filtered
75 candidates to 99 candidates (-32.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New99099
Fresh033
Picked011
Done011
Total995104

Merged error: 0b

Counts
104 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* z t) (* z t))
0.3b
(* (* x y) (* x y))
1.6b
(- (* (* x y) (* x y)) (* (* z t) (* z t)))
25.9b
(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
82×pow1
34×pow-prod-down
30×add-exp-log add-cbrt-cube
16×prod-exp cbrt-unprod
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
8×pow-sqr pow-prod-up
6×add-log-exp
5×difference-of-squares
4×pow-plus associate-/l*
3×flip3-- associate-/r* flip--
2×pow2 swap-sqr associate-*r* associate-*l* associate-/r/ *-commutative associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
4 → 117
Calls
4 calls:
6.0ms
(* (* z t) (* z t))
6.0ms
(* (* x y) (* x y))
6.0ms
(- (* (* x y) (* x y)) (* (* z t) (* z t)))
12.0ms
(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t)))

series75.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (* z t) (* z t))
7.0ms
(* (* x y) (* x y))
32.0ms
(- (* (* x y) (* x y)) (* (* z t) (* z t)))
29.0ms
(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t)))

simplify75.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
0413954
12306805
25002788

prune92.0ms

Filtered
66 candidates to 129 candidates (-95.5%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1290129
Fresh022
Picked011
Done022
Total1295134

Merged error: 0b

Counts
134 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (* z t))
0.3b
(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
0.5b
(sqrt (+ (* x y) (* z t)))
0.5b
(sqrt (+ (* x y) (* z t)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
3.0ms
(+ (* x y) (* z t))
11.0ms
(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
3.0ms
(sqrt (+ (* x y) (* z t)))
4.0ms
(sqrt (+ (* x y) (* z t)))

series59.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(+ (* x y) (* z t))
10.0ms
(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
19.0ms
(sqrt (+ (* x y) (* z t)))
20.0ms
(sqrt (+ (* x y) (* z t)))

simplify44.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0243764
11002706
25001686

prune83.0ms

Filtered
65 candidates to 110 candidates (-69.2%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1100110
Fresh011
Picked011
Done033
Total1105115

Merged error: 0b

Counts
115 → 5

regimes915.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0165
1165

end0.0ms

analyze1.2s

Algorithm
search

sample1.1s

Algorithm
intervals
Results
374.0ms3920×body80invalid
318.0ms8000×body80valid

Profiling

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